What 2 square numbers subtract to make 1823?

What two square numbers subtract to make 1823? In other words, when you subtract one square number from another square number, the answer is 1823. What are the two square numbers?

First, note that a square number is what you get when you multiply a number by itself, which means that the square root of a square number will equal a whole number. Thus, this is what we are solving:

A² - B² = 1823

We solved the equation above and found this to be true:

912² - 911² = 1823

912² is 831744 and 911² is 829921, therefore the answer to the question "What 2 square numbers subtract to make 1823?" is 831744 and 829921 as illustrated below:

831744 - 829921 = 1823

Note that there may be more than one solution to a problem like this. Above, we found the lowest combination of square numbers that subtract to 1823. Below we list alternate solutions if available.

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